Question
Factor the expression
x2(6−7x3)
Evaluate
6x2−7x5
Rewrite the expression
x2×6−x2×7x3
Solution
x2(6−7x3)
Show Solution

Find the roots
x1=0,x2=73294
Alternative Form
x1=0,x2≈0.949914
Evaluate
6x2−7x5
To find the roots of the expression,set the expression equal to 0
6x2−7x5=0
Factor the expression
x2(6−7x3)=0
Separate the equation into 2 possible cases
x2=06−7x3=0
The only way a power can be 0 is when the base equals 0
x=06−7x3=0
Solve the equation
More Steps

Evaluate
6−7x3=0
Move the constant to the right-hand side and change its sign
−7x3=0−6
Removing 0 doesn't change the value,so remove it from the expression
−7x3=−6
Change the signs on both sides of the equation
7x3=6
Divide both sides
77x3=76
Divide the numbers
x3=76
Take the 3-th root on both sides of the equation
3x3=376
Calculate
x=376
Simplify the root
More Steps

Evaluate
376
To take a root of a fraction,take the root of the numerator and denominator separately
3736
Multiply by the Conjugate
37×37236×372
Simplify
37×37236×349
Multiply the numbers
37×3723294
Multiply the numbers
73294
x=73294
x=0x=73294
Solution
x1=0,x2=73294
Alternative Form
x1=0,x2≈0.949914
Show Solution
